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complib/zungqr(3) -- generate an M-by-N complex matrix Q with orthonormal columns,
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ZUNGQR generates an M-by-N complex matrix Q with orthonormal columns, which is defined as the first N columns of a product of K elementary reflectors of order M Q = H(1) H(2) . . . H(k) as returned by ZGEQRF. |
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complib/zungr2(3) -- generate an m by n complex matrix Q with orthonormal rows,
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ZUNGR2 generates an m by n complex matrix Q with orthonormal rows, which is defined as the last m rows of a product of k elementary reflectors of order n Q = H(1)' H(2)' . . . H(k)' as returned by ZGERQF. |
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complib/zungrq(3) -- generate an M-by-N complex matrix Q with orthonormal rows,
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ZUNGRQ generates an M-by-N complex matrix Q with orthonormal rows, which is defined as the last M rows of a product of K elementary reflectors of order N Q = H(1)' H(2)' . . . H(k)' as returned by ZGERQF. |
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complib/zungtr(3) -- product of n-1 elementary reflectors of order N, as returned by ZHETRD
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ZUNGTR generates a complex unitary matrix Q which is defined as the product of n-1 elementary reflectors of order N, as returned by ZHETRD: if UPLO = 'U', Q = H(n-1) . . . H(2) H(1), if UPLO = 'L', Q = H(1) H(2) . . . H(n-1). |
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complib/zunm2l(3) -- overwrite the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L'
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ZUNM2L overwrites the general complex m-by-n matrix C with where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(k) . . . H(2) H(1) as returned by ZGEQLF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'. |
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complib/zunm2r(3) -- overwrite the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L'
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ZUNM2R overwrites the general complex m-by-n matrix C with where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by ZGEQRF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'. |
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complib/zunmbr(3) -- VECT = 'Q', ZUNMBR overwrites the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
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If VECT = 'Q', ZUNMBR overwrites the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N': Q * C C * Q TRANS = 'C': Q**H * C C * Q**H If VECT = 'P', ZUNMBR overwrites the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N': P * C C * P TRANS = 'C': P**H * C C * P**H Here Q and P**H are the unitary matrices determined by ZGEBRD when reducing a complex matrix A to bidiagonal form: A = Q * B * P**H. Q and P**H are defined as products of eleme... |
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complib/zunmhr(3) -- overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
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ZUNMHR overwrites the general complex M-by-N matrix C with TRANS = 'C': Q**H * C C * Q**H where Q is a complex unitary matrix of order nq, with nq = m if SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of IHI-ILO elementary reflectors, as returned by ZGEHRD: Q = H(ilo) H(ilo+1) . . . H(ihi-1). |
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complib/zunml2(3) -- overwrite the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L'
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ZUNML2 overwrites the general complex m-by-n matrix C with where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(k)' . . . H(2)' H(1)' as returned by ZGELQF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'. |
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complib/zunmlq(3) -- overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
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ZUNMLQ overwrites the general complex M-by-N matrix C with TRANS = 'C': Q**H * C C * Q**H where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(k)' . . . H(2)' H(1)' as returned by ZGELQF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'. |
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complib/zunmql(3) -- overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
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ZUNMQL overwrites the general complex M-by-N matrix C with TRANS = 'C': Q**H * C C * Q**H where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(k) . . . H(2) H(1) as returned by ZGEQLF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'. |
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complib/zunmqr(3) -- overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
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ZUNMQR overwrites the general complex M-by-N matrix C with TRANS = 'C': Q**H * C C * Q**H where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by ZGEQRF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'. |
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complib/zunmr2(3) -- overwrite the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L'
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ZUNMR2 overwrites the general complex m-by-n matrix C with where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(1)' H(2)' . . . H(k)' as returned by ZGERQF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'. |
